Consider the permutations of the decimal string 000444445555555 that has three 0's, five 4's and seven...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the permutations of the decimal string 000444445555555 that has three 0's, five 4's and seven 5's. For - 0,4,5 let P, be the condition that all x's in the permutation of the string are consecutive, such as in 55555444000 4455 when & -0. Find each of the following without evaluating the factorial numbers, for example, leave 11! as is. Find 1. the total number of permutations of 000444445555555. 2. NP) for -0,4,5 3.S₁-N(P₂)-N(Po) + N(P4) + N(P₁) (0,4,5) 4. S2-MPP₁) MPP4) + N(PoPs) + N(PAPs) kje (045) kil 5. S3-N(PoP 4Ps) 6. The number of permutations of 000444445555555 in which all 0's or all 4's or all 5's are consecutive. 7. The number of permutations of 000444445555555 which contain none of 000, 44444 and 5555555, such as 445055055440554 8. The number of permutations of 000444445555555 which contain exactly two of 000, 44444, 5555555 as in 444000 455555554 or 55554444455000/5 9. The number of permutations of 000444445555555 which contain at least two of 000, 44444, 555555 as in 444000 455555554, 555544444550005 and 444440005555555 Consider the permutations of the decimal string 000444445555555 that has three 0's, five 4's and seven 5's. For - 0,4,5 let P, be the condition that all x's in the permutation of the string are consecutive, such as in 55555444000 4455 when & -0. Find each of the following without evaluating the factorial numbers, for example, leave 11! as is. Find 1. the total number of permutations of 000444445555555. 2. NP) for -0,4,5 3.S₁-N(P₂)-N(Po) + N(P4) + N(P₁) (0,4,5) 4. S2-MPP₁) MPP4) + N(PoPs) + N(PAPs) kje (045) kil 5. S3-N(PoP 4Ps) 6. The number of permutations of 000444445555555 in which all 0's or all 4's or all 5's are consecutive. 7. The number of permutations of 000444445555555 which contain none of 000, 44444 and 5555555, such as 445055055440554 8. The number of permutations of 000444445555555 which contain exactly two of 000, 44444, 5555555 as in 444000 455555554 or 55554444455000/5 9. The number of permutations of 000444445555555 which contain at least two of 000, 44444, 555555 as in 444000 455555554, 555544444550005 and 444440005555555
Expert Answer:
Answer rating: 100% (QA)
To solve these questions well break them down step by step Lets begin Step 1 The total number of permutations of the string 000444445555555 can be calculated using the formula for permutations with re... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Consider the permutations of 1, 2, 3, 4. The permutation 1432, for instance, is said to have one ascent - namely, 14 (since 1 < 4). This same permutation also has two descents - namely, 43 (since 4 >...
-
Consider a binomial distribution with n = 5 trials. Use the probabilities given in Table 2 of the Appendix to make histograms showing the probabilities of r = 0, 1, 2, 3, 4, and 5 successes for each...
-
Consider a binomial distribution with 10 trials. Look at Table 2 in the Appendix showing binomial probabilities for various values of p, the probability of success on a single trial. (a) For what...
-
Hooghly Products manufactures a silicone paste wax that goes through three processing departments- Cracking, Blending, and Packing. All raw materials are introduced at the start of work in the...
-
How much energy would the person of Example 15-8 transform if instead of working 11.0 h she took a noon-time break and ran for 1.0h?
-
A company paid \(\$ 900,000\) for a building and was amortizing it by the straight-line method over a 40 -year life, with estimated residual value of \(\$ 60,000\). After 10 years it became evident...
-
Explain how the notions of effectiveness, efficiency and equity are related to decision-making, sustainable development and accountability.
-
This problem continues the Draper Consulting, Inc., situation from Problem 13-37 of Chapter 13. Refer to the comparative balance sheet for Draper Consulting. Requirement 1. Prepare the statement of...
-
Dominant Communication styles are Doers and Influencer Doers tend to be high achievers and leaders and drive necessary results. They also tend to be impatient and insensitive to others. Influencers...
-
The members of the Vistas Club are planning a month long hiking and camping trip through the Blue Ridge Mountains, from north Georgia to Virginia. There are a number of trails through the mountains...
-
The efficiency of Carnot engine operating between 27 degree Celsius and 227 degree Celsius is : A) 0.9 B) 2.5 C) 0.4 D) 0.5
-
How might the increasing reliance on cloud computing and data centers impact environmental sustainability, and what innovations or policies could help minimize the carbon footprint associated with...
-
What have you learned so far about the impact of technology on the business/topic for your project?
-
Using Excel (please show all your formulas, calculations and work) Calculate the internal rate of return, net present value, payback period, profitability index and total increase in income after...
-
Assume that the firm is producing the number of units that will maximize their profit in a perfectly competitive market. You can use the explanatory for problem 23-3 that are in the Handouts on the...
-
A partnership is considering possible liquidation because one of the partners (Bell) is personally insolvent. Profits and losses are divided on a 4:3:2:1 basis, respectively. Capital balances at the...
-
TechCorp, a rapidly growing tech company, has been experiencing challenges in managing its burgeoning data. The data is scattered across various spreadsheets and there's a pressing need to...
-
Feller Company purchased a site for a limestone quarry for $100,000 on January 2, 2019. It estimate that the quarry will yield 400,000 tons of limestone. It estimates that its retirement obligation...
-
Simulate a tally counter that can be used to admit a limited number of people. First, the limit is set with a call public void setLimit(int maximum) If the count button was clicked more often than...
-
Each square on a chess board can be described by a letter and number, such as g5 in this example: The following pseudocode describes an algorithm that determines whether a square with a given letter...
-
An online bank wants you to create a program that shows prospective customers how their deposits will grow. Your program should read the initial balance and the annual interest rate. Interest is...
-
Which of the following graphs would be best to use to display the percentages of diagnoses seen at your mental health center? a. Frequency polygon b. Pie graph c. Bar graph d. Line graph
-
Physicians from the Community Physician's Clinic would like to demonstrate to the Community Hospital administration that additional exam rooms are needed to accommodate their patients. They ask the...
-
What type of numerical data contains only a finite number of results? a. Continuous b. Discrete c. Interval d. Ratio
Study smarter with the SolutionInn App